How to make a "soft-textured emission" (example provided)
You can get pretty good results with Translucent BSDF and a point light inside.  


Emission shader isn't best, because it's uniform across the whole surface, nad doesn't receive shadows.
Settings are the same for both engines, but Cycles uses slightly lighter translucency color
For Eevee I enabled Bloom, for Cycles I'd probably use Glare node in Compositor.